{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:EQSXEGMALMDSKQ6W7CPZYPWR5E","short_pith_number":"pith:EQSXEGMA","canonical_record":{"source":{"id":"hep-lat/9309014","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1993-09-22T01:11:10Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3feb8150adea1a85069c505c55e092f854b7376abc71ac7a329bd69b9d1061f6","abstract_canon_sha256":"7f21677f756c1a22fff853a9967a5f3b2c488ae849160224f0688453f1c5fc44"},"schema_version":"1.0"},"canonical_sha256":"24257219805b072543d6f89f9c3ed1e9044317a85d9e35bbad5c5b61b9a340bb","source":{"kind":"arxiv","id":"hep-lat/9309014","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9309014","created_at":"2026-07-04T15:55:41Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9309014v2","created_at":"2026-07-04T15:55:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9309014","created_at":"2026-07-04T15:55:41Z"},{"alias_kind":"pith_short_12","alias_value":"EQSXEGMALMDS","created_at":"2026-07-04T15:55:41Z"},{"alias_kind":"pith_short_16","alias_value":"EQSXEGMALMDSKQ6W","created_at":"2026-07-04T15:55:41Z"},{"alias_kind":"pith_short_8","alias_value":"EQSXEGMA","created_at":"2026-07-04T15:55:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:EQSXEGMALMDSKQ6W7CPZYPWR5E","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9309014","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1993-09-22T01:11:10Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3feb8150adea1a85069c505c55e092f854b7376abc71ac7a329bd69b9d1061f6","abstract_canon_sha256":"7f21677f756c1a22fff853a9967a5f3b2c488ae849160224f0688453f1c5fc44"},"schema_version":"1.0"},"canonical_sha256":"24257219805b072543d6f89f9c3ed1e9044317a85d9e35bbad5c5b61b9a340bb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:55:41.527994Z","signature_b64":"/GE+0XOw+rTMg9Wu95+OguQmL+I1IfkgldV7v3NcBgQZ/vSJK9+sl5aTlCFIo67mWV0IF1YjwMWmEuQYVz8FDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24257219805b072543d6f89f9c3ed1e9044317a85d9e35bbad5c5b61b9a340bb","last_reissued_at":"2026-07-04T15:55:41.527639Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:55:41.527639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9309014","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:55:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WT+s/s3H6Cr0k3CoRUtQtGEfFDAdElUAqIQmKu3K4JBUrzFoYtjDcJNKaiJnB2ByxxJ/Znmm4/4Tm3OrD7X+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:56:26.758984Z"},"content_sha256":"f9b3854958698974299d9fa6a08b64777238698dc80b918d7fe791408cdba4c3","schema_version":"1.0","event_id":"sha256:f9b3854958698974299d9fa6a08b64777238698dc80b918d7fe791408cdba4c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:EQSXEGMALMDSKQ6W7CPZYPWR5E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perturbative analysis for Kaplan's lattice chiral fermions","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"H. Hirose, S. Aoki","submitted_at":"1993-09-22T01:11:10Z","abstract_excerpt":"Perturbation theory for lattice fermions with domain wall mass terms is developed and is applied to investigate the chiral Schwinger model formulated on the lattice by Kaplan's method. We calculate the effective action for gauge fields to one loop, and find that it contains a longitudinal component even for anomaly-free cases. From the effective action we obtain gauge anomalies and Chern-Simons current without ambiguity. We also show that the current corresponding to the fermion number has a non-zero divergence and it flows off the wall into the extra dimension. Similar results are obtained fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9309014","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-lat/9309014/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:55:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ojYxkNfxoSrTvBSa9kc/5oQ4ad7ATkDhhDuFiDW3ZT+siwqEFBCH1kvev9l9KwV/0EJnMhpupH9+G9wpiuweDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:56:26.759511Z"},"content_sha256":"d0f086453e38194d1988c42774fd6447cfa82b008d8489459d3d4cc5ca69e831","schema_version":"1.0","event_id":"sha256:d0f086453e38194d1988c42774fd6447cfa82b008d8489459d3d4cc5ca69e831"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EQSXEGMALMDSKQ6W7CPZYPWR5E/bundle.json","state_url":"https://pith.science/pith/EQSXEGMALMDSKQ6W7CPZYPWR5E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EQSXEGMALMDSKQ6W7CPZYPWR5E/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-03T18:56:26Z","links":{"resolver":"https://pith.science/pith/EQSXEGMALMDSKQ6W7CPZYPWR5E","bundle":"https://pith.science/pith/EQSXEGMALMDSKQ6W7CPZYPWR5E/bundle.json","state":"https://pith.science/pith/EQSXEGMALMDSKQ6W7CPZYPWR5E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EQSXEGMALMDSKQ6W7CPZYPWR5E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:EQSXEGMALMDSKQ6W7CPZYPWR5E","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7f21677f756c1a22fff853a9967a5f3b2c488ae849160224f0688453f1c5fc44","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-lat","submitted_at":"1993-09-22T01:11:10Z","title_canon_sha256":"3feb8150adea1a85069c505c55e092f854b7376abc71ac7a329bd69b9d1061f6"},"schema_version":"1.0","source":{"id":"hep-lat/9309014","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9309014","created_at":"2026-07-04T15:55:41Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9309014v2","created_at":"2026-07-04T15:55:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9309014","created_at":"2026-07-04T15:55:41Z"},{"alias_kind":"pith_short_12","alias_value":"EQSXEGMALMDS","created_at":"2026-07-04T15:55:41Z"},{"alias_kind":"pith_short_16","alias_value":"EQSXEGMALMDSKQ6W","created_at":"2026-07-04T15:55:41Z"},{"alias_kind":"pith_short_8","alias_value":"EQSXEGMA","created_at":"2026-07-04T15:55:41Z"}],"graph_snapshots":[{"event_id":"sha256:d0f086453e38194d1988c42774fd6447cfa82b008d8489459d3d4cc5ca69e831","target":"graph","created_at":"2026-07-04T15:55:41Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-lat/9309014/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Perturbation theory for lattice fermions with domain wall mass terms is developed and is applied to investigate the chiral Schwinger model formulated on the lattice by Kaplan's method. We calculate the effective action for gauge fields to one loop, and find that it contains a longitudinal component even for anomaly-free cases. From the effective action we obtain gauge anomalies and Chern-Simons current without ambiguity. We also show that the current corresponding to the fermion number has a non-zero divergence and it flows off the wall into the extra dimension. Similar results are obtained fo","authors_text":"H. Hirose, S. Aoki","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1993-09-22T01:11:10Z","title":"Perturbative analysis for Kaplan's lattice chiral fermions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9309014","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f9b3854958698974299d9fa6a08b64777238698dc80b918d7fe791408cdba4c3","target":"record","created_at":"2026-07-04T15:55:41Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7f21677f756c1a22fff853a9967a5f3b2c488ae849160224f0688453f1c5fc44","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-lat","submitted_at":"1993-09-22T01:11:10Z","title_canon_sha256":"3feb8150adea1a85069c505c55e092f854b7376abc71ac7a329bd69b9d1061f6"},"schema_version":"1.0","source":{"id":"hep-lat/9309014","kind":"arxiv","version":2}},"canonical_sha256":"24257219805b072543d6f89f9c3ed1e9044317a85d9e35bbad5c5b61b9a340bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24257219805b072543d6f89f9c3ed1e9044317a85d9e35bbad5c5b61b9a340bb","first_computed_at":"2026-07-04T15:55:41.527639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:55:41.527639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/GE+0XOw+rTMg9Wu95+OguQmL+I1IfkgldV7v3NcBgQZ/vSJK9+sl5aTlCFIo67mWV0IF1YjwMWmEuQYVz8FDw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:55:41.527994Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9309014","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9b3854958698974299d9fa6a08b64777238698dc80b918d7fe791408cdba4c3","sha256:d0f086453e38194d1988c42774fd6447cfa82b008d8489459d3d4cc5ca69e831"],"state_sha256":"4ab2b8144caff5acf3cdecebe64c13fe5f6b2c5ab3be8e3f9c59e8ae6386043a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qpOqucs5CZryIs3rqpm8LmWkZSAqYMe2IcyRanJwXeOgxa5uhH1bqxACVAZXNqjNK9uh8dFeRG16tTsyMCAkAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T18:56:26.762880Z","bundle_sha256":"72bd8348e2f312e61db6936cc9a47bb60ac2b5a25ba6c9ad1f7dc054b2fc737e"}}